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On a test for generalized upper truncated Weibull distributions

Author

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  • Martínez, Servet
  • Quintana, Fernando

Abstract

We study upper truncated Weibull random variables with density given by g[beta],[delta],[tau](t)=[beta][delta]t[delta]-1 exp(-[beta]t[delta])(1- for 0[less-than-or-equals, slant]t[less-than-or-equals, slant][tau] ([tau] is the truncation parameter), [delta]>0 and [beta] [epsilon] . Denoting by , and the maximum likelihood estimators we show that sign()=sign(-Gn), where Gn=(1/n)[Sigma]ni=1(Ti/). It i Gaussian. This result is then used to provide a test for the hypothesis [beta] = 0.

Suggested Citation

  • Martínez, Servet & Quintana, Fernando, 1991. "On a test for generalized upper truncated Weibull distributions," Statistics & Probability Letters, Elsevier, vol. 12(4), pages 273-279, October.
  • Handle: RePEc:eee:stapro:v:12:y:1991:i:4:p:273-279
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    Cited by:

    1. Zhang, Tieling & Xie, Min, 2011. "On the upper truncated Weibull distribution and its reliability implications," Reliability Engineering and System Safety, Elsevier, vol. 96(1), pages 194-200.

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